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In this paper, we develop a framework to obtain graph abstractions for decision-making by an agent where the abstractions emerge as a function of the agent's limited computational resources. We discuss the connection of the proposed…

Robotics · Computer Science 2021-02-22 Daniel T. Larsson , Dipankar Maity , Panagiotis Tsiotras

The model checking problem for multi-agent systems against Strategy Logic specifications is known to be non-elementary. On this logic several fragments have been defined to tackle this issue but at the expense of expressiveness. In this…

Multiagent Systems · Computer Science 2023-10-27 Francesco Belardinelli , Angelo Ferrando , Wojciech Jamroga , Vadim Malvone , Aniello Murano

The Abstraction and Reasoning Corpus (ARC) aims at benchmarking the performance of general artificial intelligence algorithms. The ARC's focus on broad generalization and few-shot learning has made it difficult to solve using pure machine…

Artificial Intelligence · Computer Science 2022-12-05 Yudong Xu , Elias B. Khalil , Scott Sanner

Abstraction of a continuous-space model into a finite state and input dynamical model is a key step in formal controller synthesis tools. To date, these software tools have been limited to systems of modest size (typically $\leq$ 6…

Systems and Control · Computer Science 2018-01-29 Felix Gruber , Eric S. Kim , Murat Arcak

Temporally extended actions improve the ability to explore and plan in single-agent settings. In multi-agent settings, the exponential growth of the joint state space with the number of agents makes coordinated behaviours even more…

Machine Learning · Computer Science 2026-04-21 Raul D. Steleac , Mohan Sridharan , David Abel

In this paper we present the extension of an existing method for abstract graph-based state space exploration, called neighbourhood abstraction, with a reduction technique based on subsumption. Basically, one abstract state subsumes another…

Logic in Computer Science · Computer Science 2012-10-25 Eduardo Zambon , Arend Rensink

In many real-world problems, the learning agent needs to learn a problem's abstractions and solution simultaneously. However, most such abstractions need to be designed and refined by hand for different problems and domains of application.…

Machine Learning · Computer Science 2022-12-09 Mehdi Dadvar , Rashmeet Kaur Nayyar , Siddharth Srivastava

The ability to continuously learn and adapt to new situations is one where humans are far superior compared to AI agents. We propose an approach to knowledge transfer using behavioural strategies as a form of transferable knowledge…

Artificial Intelligence · Computer Science 2023-05-23 Archana Vadakattu , Michelle Blom , Adrian R. Pearce

Decision making in modern large-scale and complex systems such as communication networks, smart electricity grids, and cyber-physical systems motivate novel game-theoretic approaches. This paper investigates big strategic (non-cooperative)…

Computer Science and Game Theory · Computer Science 2016-09-22 Tansu Alpcan , Benjamin I. P. Rubinstein , Christopher Leckie

Computing market equilibria is an important practical problem for market design, for example in fair division of items. However, computing equilibria requires large amounts of information (typically the valuation of every buyer for every…

Computer Science and Game Theory · Computer Science 2021-09-07 Christian Kroer , Alexander Peysakhovich , Eric Sodomka , Nicolas E. Stier-Moses

Coalitions naturally exist in many real-world systems involving multiple decision makers such as ridesharing, security, and online ad auctions, but the coalition structure among the agents is often unknown. We propose and study an important…

Computer Science and Game Theory · Computer Science 2023-12-20 Yixuan Even Xu , Chun Kai Ling , Fei Fang

Learning algorithm design for state-based games is investigated. A heuristic uncoupled learning algorithm, which is a two memory better reply with inertia dynamics, is proposed. Under certain reasonable conditions it is proved that for any…

Optimization and Control · Mathematics 2018-09-18 Changxi Li , Yu Xing , Fenghua He , Daizhan Cheng

Abstraction is a well-known approach to simplify a complex problem by over-approximating it with a deliberate loss of information. It was not considered so far in Answer Set Programming (ASP), a convenient tool for problem solving. We…

Logic in Computer Science · Computer Science 2021-07-01 Zeynep G. Saribatur , Thomas Eiter

Despite the many recent practical and theoretical breakthroughs in computational game theory, equilibrium finding in extensive-form team games remains a significant challenge. While NP-hard in the worst case, there are provably efficient…

Computer Science and Game Theory · Computer Science 2022-01-19 Brian Hu Zhang , Tuomas Sandholm

We recast move generators for solving board games as operations on compressed sets of strings. We aim for compressed representations with space sublinear in the number of game positions for interesting sets of positions, move generation in…

Data Structures and Algorithms · Computer Science 2025-04-15 Jeffrey Considine

In this work we introduce a structured signaling game, an extension of the classical signaling game with a similarity structure between meanings in the context, along with a variant of the Rational Speech Act (RSA) framework which we call…

Artificial Intelligence · Computer Science 2023-05-18 Emil Carlsson , Devdatt Dubhashi

Two-player graph games have found numerous applications, most notably in the synthesis of reactive systems from temporal specifications, but also in verification. The relevance of infinite-state systems in these areas has lead to…

Logic in Computer Science · Computer Science 2023-11-08 Philippe Heim , Rayna Dimitrova

Infinite-state games are a commonly used model for the synthesis of reactive systems with unbounded data domains. Symbolic methods for solving such games need to be able to construct intricate arguments to establish the existence of winning…

Logic in Computer Science · Computer Science 2024-05-16 Anne-Kathrin Schmuck , Philippe Heim , Rayna Dimitrova , Satya Prakash Nayak

Can simple algorithms with a good representation solve challenging reinforcement learning problems? In this work, we answer this question in the affirmative, where we take "simple learning algorithm" to be tabular Q-Learning, the "good…

Machine Learning · Computer Science 2020-02-14 Kavosh Asadi , David Abel , Michael L. Littman

In this report, we aim at the development of an online abstraction framework for multi-agent systems under coupled constraints. The motion capabilities of each agent are abstracted through a finite state transition system in order to…

Optimization and Control · Mathematics 2016-11-10 Dimitris Boskos , Dimos V. Dimarogonas